In: Statistics and Probability
23. A group of five individuals with high blood pressure were given a new drug that was designed to lower blood pressure. Systolic blood pressure was measured before and after treatment for each individual. The mean and standard deviation for the before treatment were 168.6 and 9.3, respectively. The mean and standard deviation for the after treatment were 137.2 and 7.4, respectively. The 90% confidence for the mean reduction in systolic blood pressure is nearly?
Answer:23. A group of five individuals with high blood pressure were given a new drug that was designed to lower blood pressure. Systolic blood pressure was measured before and after treatment for each individual. The mean and standard deviation for the before treatment were 168.6 and 9.3, respectively. The mean and standard deviation for the after treatment were 137.2 and 7.4, respectively.
Solution:
1 = 168.6 σ1 = 9.3
2 = 137.2 . σ2 = 7.4
At 90% confidence ,
Z = 1.645
90% CI = 1 - 2 Z * √(σ1^2/n1)+(σ2^2/n2))
= 168.6 - 137.2 1.645*√((9.3)^2/5)+(7.4)^2/5))
= 31.4 8.7433
= (22.6567, 40.1433)
Therefore, The 90% confidence for the mean reduction in systolic blood pressure is nearly between 22.6567 and 40.1433.